scholarly journals On lower bounds for generalized Lebesgue constants of Fourier-Jacobi sums in $L^p_{\rho}$ spaces

2021 ◽  
Vol 18 ◽  
pp. 91
Author(s):  
S.V. Goncharov
Keyword(s):  
Lower Bounds ◽  
Lebesgue Constants ◽  
Jacobi Sums

We obtain lower estimates for the generalized Lebesgue constants of Fourier-Jacobi sums, in the spaces of functions being integrable with the $\rho(t) = (1-t)^A (1+t)^B$ weight, therefore confirming an exactness of known upper estimates.

scholarly journals On mean convergence of Fourier-Jacobi series

2021 ◽  
Vol 15 ◽  
pp. 70
Author(s):  
S.V. Goncharov ◽  
V.P. Motornyi
Keyword(s):  
Lebesgue Constants ◽  
Order Of Growth ◽  
Jacobi Series ◽  
Jacobi Sums ◽  
Mean Convergence

We establish the order of growth of modified Lebesgue constants of Fourier-Jacobi sums in $L_{p,w}$ spaces.

scholarly journals Properties of generalized Lebesgue constants for partial Fourier-Jacobi sums

2021 ◽  
Vol 17 ◽  
pp. 91
Author(s):  
O.V. Motorna ◽  
V.P. Motornyi
Keyword(s):  
Lebesgue Constants ◽  
Jacobi Sums

Properties of the generalized Lebesgue constants for the Fourier-Jacobi sums are obtained.

scholarly journals Estimates of generalized Lebesgue constants of partial Fourier-Jacobi sums

2021 ◽  
Vol 16 ◽  
pp. 49
Author(s):  
S.V. Goncharov ◽  
V.P. Motornyi
Keyword(s):  
Lebesgue Constants ◽  
Jacobi Sums

We obtain, in some cases, estimates of generalized Lebesgue constants of Fourier-Jacobi sums in $L_{p,w}$ spaces.

Depth Lower Bounds for Monotone Semi-Unbounded Fan-in Circuits

2001 ◽  
Vol 35 (3) ◽  
pp. 277-286 ◽  
Author(s):  
Jan Johannsen
Keyword(s):  
Lower Bounds

Lower Bounds in Communication Complexity

2007 ◽  
Author(s):  
T. Lee ◽  
A. Shraibman
Keyword(s):  
Lower Bounds ◽  
Communication Complexity

Lower Bounds on the Aperiodic Hamming Correlations of Frequency Hopping Sequences

2013 ◽  
Vol E96.A (6) ◽  
pp. 1445-1450 ◽  
Author(s):  
Xing LIU ◽  
Daiyuan PENG ◽  
Xianhua NIU ◽  
Fang LIU
Keyword(s):  
Lower Bounds ◽  
Frequency Hopping ◽  
Frequency Hopping Sequences

Two Lower Bounds for Shortest Double-Base Number System

2015 ◽  
Vol E98.A (6) ◽  
pp. 1310-1312 ◽  
Author(s):  
Parinya CHALERMSOOK ◽  
Hiroshi IMAI ◽  
Vorapong SUPPAKITPAISARN
Keyword(s):  
Lower Bounds ◽  
Number System ◽  
Base Number ◽  
Double Base

Lower bounds on the dimension of the Rauzy gasket

2020 ◽  
Vol 148 (2) ◽  
pp. 321-327
Author(s):  
Rodolfo Gutiérrez-Romo ◽  
Carlos Matheus
Keyword(s):  
Lower Bounds

A Lower Bound for Schur Numbers and Multicolor Ramsey Numbers

10.37236/1188 ◽  
1994 ◽  
Vol 1 (1) ◽  
Author(s):  
Geoffrey Exoo
Keyword(s):  
Lower Bound ◽  
Lower Bounds ◽  
Ramsey Numbers

For $k \geq 5$, we establish new lower bounds on the Schur numbers $S(k)$ and on the k-color Ramsey numbers of $K_3$.

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